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Contemporary Mathematics. Fundamental Directions, 2023, Volume 69, Issue 3, Pages 399–417
DOI: https://doi.org/10.22363/2413-3639-2023-69-3-399-417 (Mi cmfd510) 		 
Smoothness of generalized solutions of a boundary-value problem for a second-order differential-difference equation with mixed boundary conditions

N. O. Ivanov

RUDN University, Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2023-69-3-399-417
Abstract: We consider a boundary-value problem with mixed boundary conditions for a second-order differential-difference equation on a finite interval $(0,d).$ We prove existence of a generalized solution of the problem and study the conditions on the right-hand side of the differential-difference equation ensuring the smoothness of the generalized solution over the entire interval.
Keywords: boundary-value problem, differential-difference equations, generalized solutions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-1115
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (Megagrant, agreement No. 075-15-2022-1115).
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: N. O. Ivanov, “Smoothness of generalized solutions of a boundary-value problem for a second-order differential-difference equation with mixed boundary conditions”, CMFD, 69, no. 3, PFUR, M., 2023, 399–417
Citation in format AMSBIB
\Bibitem{Iva23}
\by N.~O.~Ivanov
\paper Smoothness of generalized solutions of a boundary-value problem for a second-order differential-difference equation with mixed boundary conditions
\serial CMFD
\yr 2023
\vol 69
\issue 3
\pages 399--417
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd510}
\crossref{https://doi.org/10.22363/2413-3639-2023-69-3-399-417}
\edn{https://elibrary.ru/DXHBXR}
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